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Modal Logic for Philosophers

$46.00

  • Date Published: August 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521682299

$46.00
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  • Designed for use by philosophy students, this 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications. Every effort has been made to simplify the presentation by using diagrams in place of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dictio distinction. Discussion of philosophical issues concerning the development of modal logic is woven into the text. The book uses natural deduction systems and also includes a diagram technique that extends the method of truth trees to modal logic. This feature provides a foundation for a novel method for showing completeness, one that is easy to extend to systems that include quantifiers.

    • Extensive use of diagrams to simplify the presentation of technical material: natural deduction rules also help make material accessible
    • Accessible and useful for philosophers
    • New methods for proving technical results are presented which simplify the proofs, especially when quantifiers are introduced
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    Reviews & endorsements

    "Any philosopher studying this book will be able to read and understand recent philosophical articles and books in the domain of philosophical logic."
    Alexandre Costa-Leite, Mathematical Reviews

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    Product details

    • Date Published: August 2006
    • format: Paperback
    • isbn: 9780521682299
    • length: 472 pages
    • dimensions: 229 x 153 x 23 mm
    • weight: 0.63kg
    • availability: Available
  • Table of Contents

    Introduction
    1. The system K
    2. Extensions of K
    3. Intensional semantics
    4. Trees for K
    5. The accessibility relation
    6. Trees for extensions of K
    7. Converting trees to proofs
    8. Adequacy of propositional modal logics
    9. Completeness using canonical models
    10. The general axiom
    11. Relations between the modal logics
    12. Systems for quantified modal logic
    13. Semantics for quantified modal logics
    14. Trees for quantified modal logic
    15. The adequacy of quantified modal logics
    16. Completeness of quantified modal logics using trees
    17. Completeness using canonical models
    18. Descriptions
    19. Lambda abstraction.

  • Instructors have used or reviewed this title for the following courses

    • Symbolic Logic
    • Topics in Advanced Logic: Modal Logic
  • Author

    James W. Garson, University of Houston
    James W. Garson is Professor of Philosophy at the University of Houston. He has held grants from the National Endowment for the Humanities, the National Science Foundation, and the Apple Education Foundation. He is also the author of numerous articles in logic, semantics, linguistics, the philosophy of cognitive science, and computerized education.

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